136573920 has 288 divisors, whose sum is σ = 564677568. Its totient is φ = 29343744.

The previous prime is 136573901. The next prime is 136573933. The reversal of 136573920 is 29375631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170962 + ... + 171758.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2^136573920 is an apocalyptic number.

136573920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784).

136573920 is an abundant number, since it is smaller than the sum of its proper divisors (428103648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136573920 is a wasteful number, since it uses less digits than its factorization.

136573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 136573920 is about 11686.4845013374. The cubic root of 136573920 is about 514.9786901667.

It can be divided in two parts, 136 and 573920, that added together give a triangular number (574056 = T₁₀₇₁).

The spelling of 136573920 in words is "one hundred thirty-six million, five hundred seventy-three thousand, nine hundred twenty".